Transform Edges to Profile precisely?
I'm in 279, but this works for me?


Mesh, faces only removed, converted to 2D Curve
In Curve > Geometry panel 'Extrude' set to desired amount (no Bevel)
Solidify modifier assigned, 0 Offset, Even Thickness, Fill Rim.




.. seems to render OK, but yes, if you convert back to mesh, the topology is horrible.